Eamcet Mathematics
Algebra Permutations And Combinations

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Q.

All possible two factors products are formed from numbers 1, 2, 3, 4, ...., 200. The number of factors out of the total obtained which are multiples of 5 is

View Answer

Correct choice: B

Explanation:

The total number of two factor products =200C2 .
The number of numbers from 1 to 200 which are not multiples of 5 is 160. Therefore total number of two factor products which are not multiple of 5 is =160C2 .
Hence the required number of factors
= =200C2- 160C2 =7180.
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